Primitive origins -- Egypt -- Mesopotamia -- Ionia and the Pythagoreans -- The Heroic Age -- The Age of Plato and Aristotle -- Euclid of Alexandria -- Archimedes of Syracuse -- Apollonius of Perga -- Greek Trigonometry and Mensuration -- Revival and Decline of Greek Mathematics -- China and India -- The Arabic Hegemony -- Europe in the Middle Ages -- The Renaissance -- Prelude to Modern Mathematics -- The Time of Fermat and Descartes -- A Transitional Period -- Newton and Leibniz -- The Bernoulli Era -- The Age of Euler -- Mathematicians of the French Revolution -- The Time of Gauss and Cauchy -- The Heroic Age in Geometry -- The Arithmetization of Analysis -- The Rise of Abstract Algebra -- Aspects of the Twentieth Century -- General Bibliography -- Appendix: Chronological Table -- Index